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Avtomatika i Telemekhanika, 2023, Issue 5, Pages 3–20
DOI: https://doi.org/10.31857/S000523102305001X (Mi at16168) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Linear Systems

On the properties of orthogonal projection method for reaching consensus

R. P. Agaev, D. K. Khomutov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (433 kB) First page Citations (2)
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DOI: https://doi.org/10.31857/S000523102305001X
Abstract: The article is devoted to an asymptotic behavior of a multi-agent system with information links. We proved that the orthogonal projection method proposed for the regularization of the consensus protocol is characterized by a pseudoinverse matrix for the introduced auxiliary matrix for an arbitrary communication digraph of a multi-agent system. We cosidered the eigenprojection of the Laplacian matrix corresponding to the communication digraph, in which the influences on the fixed agent change proportionally. We obtained a number of results that are of independent importance and can be used in models of multi-agent systems with different protocols.
Keywords: multi-agent system, consensus, eigenprojection, Laplacian matrix, communication digraph, balanced digraph.
Presented by the member of Editorial Board: M. V. Goubko

Received: 16.06.2022
Revised: 25.12.2022
Accepted: 29.12.2022
English version:
Automation and Remote Control, 2023, Volume 84, Issue 5, Pages 457–469
DOI: https://doi.org/10.1134/S0005117923050028
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. P. Agaev, D. K. Khomutov, “On the properties of orthogonal projection method for reaching consensus”, Avtomat. i Telemekh., 2023, no. 5, 3–20; Autom. Remote Control, 84:5 (2023), 457–469
Citation in format AMSBIB
\Bibitem{AgaKho23}
\by R.~P.~Agaev, D.~K.~Khomutov
\paper On the properties of orthogonal projection method for reaching consensus
\jour Avtomat. i Telemekh.
\yr 2023
\issue 5
\pages 3--20
\mathnet{http://mi.mathnet.ru/at16168}
\crossref{https://doi.org/10.31857/S000523102305001X}
\edn{https://elibrary.ru/AFGUFJ}
\transl
\jour Autom. Remote Control
\yr 2023
\vol 84
\issue 5
\pages 457--469
\crossref{https://doi.org/10.1134/S0005117923050028}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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